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Finding the Fourth Proportional to 774.99, 1,069.52 and 443.49

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Solution

The fourth proportional to 774.99, 1,069.52 and 443.49 is: 612.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.99 : 1,069.52 = 443.49 : x
  2. Step 2: Convert to fraction form
    774.99/1,069.52 = 443.49/x
  3. Step 3: Cross multiply
    774.99x = 1,069.52 × 443.49
  4. Step 4: Simplify right side
    774.99x = 474,319.21
  5. Step 5: Solve for x
    x = 474,319.21/774.99
  6. Step 6: Final answer
    x = 612.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.